Wave interactions and stability of the Riemann solutions for the chromatography equations |
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Authors: | Chun Shen |
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Affiliation: | a School of Mathematics and Information, Ludong University, Yantai 264025, PR China b Laboratory of Mathematics Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, PR China |
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Abstract: | We prove that the Riemann solutions are stable for the chromatography system under the local small perturbations of the Riemann initial data. The proof is based on the detailed analysis of the wave interactions by applying the method of characteristic analysis. It is noteworthy that both the propagation directions of the shock wave S and rarefaction wave R are unchanged when they interact with the contact discontinuity J. Moreover, the global structures and large time asymptotic behaviors of the perturbed Riemann solutions are constructed and analyzed case by case. |
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Keywords: | Wave interactions Riemann problem Temple class Chromatography system Hyperbolic conservation laws |
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